100221141331 has 8 divisors (see below), whose sum is σ = 103956688880. Its totient is φ = 96549449472.

The previous prime is 100221141313. The next prime is 100221141337. The reversal of 100221141331 is 133141122001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100221141331 - 2⁷ = 100221141203 is a prime.

It is a super-2 number, since 2×100221141331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221141299 and 100221141308.

It is not an unprimeable number, because it can be changed into a prime (100221141337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15960726 + ... + 15967003.

It is an arithmetic number, because the mean of its divisors is an integer number (12994586110).

Almost surely, 2^100221141331 is an apocalyptic number.

100221141331 is a deficient number, since it is larger than the sum of its proper divisors (3735547549).

100221141331 is an equidigital number, since it uses as much as digits as its factorization.

100221141331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31927845.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100221141331 its reverse (133141122001), we get a palindrome (233362263332).

The spelling of 100221141331 in words is "one hundred billion, two hundred twenty-one million, one hundred forty-one thousand, three hundred thirty-one".